**1** |
1st week
Introduction
Signals and Classification of Signals
Properties of Dirac and Unit Step Functions
Basic Continuous-Time Signals
Basic Discrete-Time Signals
Examples
2nd week
Periodic signals and their representations
Sampling theorem
Analog to Digital Conversion
Digital to Analog Conversion
Introduction to signals in frequency domain
Discrete time periodic signals
Delay, shift and framing of the signals
Examples
3rd week
Convolution integral and sum
Convolution of time domain signals and their applications in computer engineering
Signal domains
Relationships between signal domains t, kT, ?, j?, s, z
System definition
Transfer function of a system
Examples
4th week
Introduction to linear time invariant (LTI) systems
Response of a Continuous-Time (CT) LTI System and the Convolution Integral
Properties of CT-LTI Systems
Eigenfunctions of CT-LTI Systems
Systems Described by Differential Equations
Delay operator for continuous time systems
Stability definitions for LTI systems
Examples
5th week
Response of a Discrete-Time (DT) LTI System and Convolution Sum
Properties of DT-LTI Systems
Systems Described by Difference Equations
Unit delay operator in discrete time systems
Discrete system representation with unit delays
Examples
6th week
Realtime programming of difference equations
Moving Average FIR filter example
Real time programming of a DT transfer function
Examples
7th week
Signals and systems at j? domain
Fourier and Laplace transform relationships
An introduction to Laplace Transform
Brief properties of Laplace transform
Inverse Laplace Transform
Examples
8th week
Frequency response analysis of CT systems and signals
Bandwidth
Bode Diagrams
Filtering of CT signals
Introduction to Fourier Transform
9th week
Fourier Series Representation of Periodic Signals
Properties of Fourier series
Fourier Transform
Properties of the Fourier Transform
Examples
10th week (Visa exam week)
Applications for DT and CT Systems’ Time and Frequency Domain Response
Applications for Real Time Programming of DT Systems
Exam
11th week
The z-Transform and Discrete-Time LTI Systems
Properties of the z-Transform
The Inverse z-Transform
Transfer function of systems in z domain
Real time Programming transfer functions in z domain
Examples
12th week
Digital filtering
Common digital filter structures
Frequency response analysis of the digital filters
Real time programming of digital filters
Examples
13th week
Frequency response analysis of the digital systems
Fourier Analysis of Discrete-Time Signals and Systems
Discrete Fourier Series
Discrete Fourier Transform (DFT)
Examples
14th week
Frequency Response of Discrete-Time LTI Systems
Fast Fourier Transform (FFT)
DFT and FFT algorithms
A brief introduction to Wavelet Transform
Comparison of DFT, FFT, STFT and wavelets
Examples
15th week
Introduction to state space analysis
Transfer functions in state space
State Space Representation of Discrete-Time LTI Systems
Space Representation of Continuous-Time LTI Systems
Real time programming of discrete time systems
Examples |

**2** |
1st week
Introduction
Signals and Classification of Signals
Properties of Dirac and Unit Step Functions
Basic Continuous-Time Signals
Basic Discrete-Time Signals
Examples
2nd week
Periodic signals and their representations
Sampling theorem
Analog to Digital Conversion
Digital to Analog Conversion
Introduction to signals in frequency domain
Discrete time periodic signals
Delay, shift and framing of the signals
Examples
3rd week
Convolution integral and sum
Convolution of time domain signals and their applications in computer engineering
Signal domains
Relationships between signal domains t, kT, ?, j?, s, z
System definition
Transfer function of a system
Examples
4th week
Introduction to linear time invariant (LTI) systems
Response of a Continuous-Time (CT) LTI System and the Convolution Integral
Properties of CT-LTI Systems
Eigenfunctions of CT-LTI Systems
Systems Described by Differential Equations
Delay operator for continuous time systems
Stability definitions for LTI systems
Examples
5th week
Response of a Discrete-Time (DT) LTI System and Convolution Sum
Properties of DT-LTI Systems
Systems Described by Difference Equations
Unit delay operator in discrete time systems
Discrete system representation with unit delays
Examples
6th week
Realtime programming of difference equations
Moving Average FIR filter example
Real time programming of a DT transfer function
Examples
7th week
Signals and systems at j? domain
Fourier and Laplace transform relationships
An introduction to Laplace Transform
Brief properties of Laplace transform
Inverse Laplace Transform
Examples
8th week
Frequency response analysis of CT systems and signals
Bandwidth
Bode Diagrams
Filtering of CT signals
Introduction to Fourier Transform
9th week
Fourier Series Representation of Periodic Signals
Properties of Fourier series
Fourier Transform
Properties of the Fourier Transform
Examples
10th week (Visa exam week)
Applications for DT and CT Systems’ Time and Frequency Domain Response
Applications for Real Time Programming of DT Systems
Exam
11th week
The z-Transform and Discrete-Time LTI Systems
Properties of the z-Transform
The Inverse z-Transform
Transfer function of systems in z domain
Real time Programming transfer functions in z domain
Examples
12th week
Digital filtering
Common digital filter structures
Frequency response analysis of the digital filters
Real time programming of digital filters
Examples
13th week
Frequency response analysis of the digital systems
Fourier Analysis of Discrete-Time Signals and Systems
Discrete Fourier Series
Discrete Fourier Transform (DFT)
Examples
14th week
Frequency Response of Discrete-Time LTI Systems
Fast Fourier Transform (FFT)
DFT and FFT algorithms
A brief introduction to Wavelet Transform
Comparison of DFT, FFT, STFT and wavelets
Examples
15th week
Introduction to state space analysis
Transfer functions in state space
State Space Representation of Discrete-Time LTI Systems
Space Representation of Continuous-Time LTI Systems
Real time programming of discrete time systems
Examples |